34805505728 has 112 divisors (see below), whose sum is σ = 81197256960. Its totient is φ = 14490233856.

The previous prime is 34805505701. The next prime is 34805505733. The reversal of 34805505728 is 82750550843.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×34805505728² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13707083 + ... + 13709621.

Almost surely, 2^34805505728 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34805505728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40598628480).

34805505728 is an abundant number, since it is smaller than the sum of its proper divisors (46391751232).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

34805505728 is a wasteful number, since it uses less digits than its factorization.

34805505728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3422 (or 3412 counting only the distinct ones).

The product of its (nonzero) digits is 1344000, while the sum is 47.

The spelling of 34805505728 in words is "thirty-four billion, eight hundred five million, five hundred five thousand, seven hundred twenty-eight".